Construct · 1 fields · 1 citations

Bernstein problem for minimal surfaces: a standalone construct

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Differential geometry

whether entire minimal graphs must be hyperplanes, true up to dimension seven and false beyond.

In differential geometry, Bernstein problem for minimal surfaces refers to whether entire minimal graphs must be hyperplanes, true up to dimension seven and false beyond. This meaning comes from Bombieri (1969) in Inventiones mathematicae.[1]

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Nearby constructs

degrees of freedom problem1 fields · 1 citationsanchor · a standalone construct dimension4 fields · 5 citationsjingle · one word, four constructs must2 fields · 2 citationsjingle · one word, two constructs

References

Bombieri, E., De Giorgi, E., & Giusti, E. (1969). Minimal cones and the Bernstein problem. Inventiones mathematicae, 7(3), 243-268. https://doi.org/10.1007/bf01404309

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